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AML
2005
104views more  AML 2005»
15 years 4 months ago
Weak theories of linear algebra
Abstract. We investigate the theories LA, LAP, LAP of linear algebra, which were originally defined to study the question of whether commutativity of matrix inverses has polysize F...
Neil Thapen, Michael Soltys
SODA
2012
ACM
185views Algorithms» more  SODA 2012»
13 years 7 months ago
On a linear program for minimum-weight triangulation
ABSTRACT∗ Arman Yousefi† Neal E. Young‡ Minimum-weight triangulation (MWT) is NP-hard. It has a polynomial-time constant-factor approximation algorithm, and a variety of e...
Arman Yousefi, Neal E. Young
SIAMCOMP
2012
13 years 6 months ago
Tabulation-Based 5-Independent Hashing with Applications to Linear Probing and Second Moment Estimation
Abstract. In the framework of Carter and Wegman, a k-independent hash function maps any k keys independently. It is known that 5independent hashing provides good expected performan...
Mikkel Thorup, Yin Zhang
ISSAC
2007
Springer
147views Mathematics» more  ISSAC 2007»
15 years 10 months ago
Differential equations for algebraic functions
It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their po...
Alin Bostan, Frédéric Chyzak, Bruno ...
ICS
2010
Tsinghua U.
16 years 1 months ago
Market Equilibrium under Separable, Piecewise-Linear, Concave Utilities
We consider Fisher and Arrow-Debreu markets under additively-separable, piecewise-linear, concave utility functions, and obtain the following results: ? For both market models, if...
Vijay V. Vazirani, Mihalis Yannakakis